Math Olympiad 5^x . 5^x . 5^x = 10 | A Nice Math Olympiad algebra problem

[@RyanLewis-Johnson-wq6xs]

5^x*5^x*5^x=10 x=Log[125,2]+0.3 recurring=Log[125,2]+1/3

[@RyanLewis-Johnson-wq6xs]

x=(1+Log[5,2])/3 final answer

[@chrisdissanayake6979]

5^x. 5^x. 5^x = 10 X log 5 + X log 5 + X log5 = 10 3X log 5 = 10 3X = 10 ➗ log 5 3X = 10 ➗ .70 X = (1000/70)➗ 3 = ~5